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ISTAR Math Sample Items for Grades 3-8 and 10
This document provides examples of the types of items on the ISTAR Assessment. The sample items can serve as models when teachers are constructing items for classroom assessment. It should be noted that this document is not a practice test.
On this website, http://www.doe.in.gov/assessment/alternate-assessments, you may access other critical Math information related to the ISTAR Assessments, such as:
Test Blueprints Instructional and Assessment Guidance, including the Content Connectors
Because students with significant cognitive disabilities are a diverse population with a variety of needs, it was important to develop items across a broad range of abilities. Three levels of items were created, called "tiers".
Tier 1 - Tier 1 questions use simple and direct language. Graphics are provided for most answer choices, along with text, which give students a visual support to answer the questions.
Tier 2 - Tier 2 questions are more complex than those in Tier 1. More introductory phrases may be included in the questions and fewer graphics in the answer choices than in Tier 1. There is a greater level of complexity in how students respond to the questions than in Tier 1.
Tier 3 - Tier 3 includes more detailed directions and questions. There is more text and few to no graphics in the answer choices. There may be more abstract ideas and inferencing in Tier 3. There is more complexity in how students respond to the questions than in Tier 2.
There are six sample questions with two items at each tier for each grade written to targeted standards and the corresponding content connectors, which show how the standard would be assessed differently for each tier.
These sample items represents standards that may be assessed during ISTAR Part 1 (Jan/Feb) and ISTAR Part 2 (April/May).
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Grade 3 Mathematics Samples
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Sample Item Information for Teachers Grade: 3 Tier: 1 Key: C DOK: 2 Link to DOK Wheel Indiana Academic Standard: MA.3.AT.1 Solve real-world problems involving addition and subtraction of whole numbers within 1000 (e.g., by using drawings and equations with a symbol for the unknown number).
Content Connector: 3.AT.1.a.1 Use pictures and/or manipulatives to solve real-world one-step addition and subtraction word problems.
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Sample Item Information for Teachers Grade: 3 Tier: 2 Key: A DOK: 2 Link to DOK Wheel Indiana Academic Standard: MA.3.AT.1 Solve real-world problems involving addition and subtraction of whole numbers within 1000 (e.g., by using drawings and equations with a symbol for the unknown number).
Content Connector: 3.AT.1.a.1 Use pictures and/or manipulatives to solve real-world one-step addition and subtraction word problems.
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Sample Item Information for Teachers Grade: 3 Tier: 3 Key: A, B DOK: 3 Link to DOK Wheel Indiana Academic Standard: MA.3.AT.1 Solve real-world problems involving addition and subtraction of whole numbers within 1000 (e.g., by using drawings and equations with a symbol for the unknown number).
Content Connector: 3.AT.1.a.1 Use pictures and/or manipulatives to solve real-world one-step addition and subtraction word problems.
The following is a two-part question. Answer Part A. Then answer Part B
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Sample Item Information for Teachers Grade: 3 Tier: 1 Key: C DOK: 2 Link to DOK Wheel Indiana Academic Standard: MA.3.C.1 Add and subtract whole numbers fluently within 1000.
Content Connector: 3.C.1.a.1 Adding and subtracting whole numbers.
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Sample Item Information for Teachers Grade: 3 Tier: 2 Key: B DOK: 2 Link to DOK Wheel Indiana Academic Standard: MA.3.C.1 Add and subtract whole numbers fluently within 1000.
Content Connector: 3.C.1.a.1 Adding and subtracting whole numbers.
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Sample Item Information for Teachers Grade: 3 Tier: 3 Key: C DOK: 2 Link to DOK Wheel Indiana Academic Standard: MA.3.C.1 Add and subtract whole numbers fluently within 1000.
Content Connector: 3.C.1.a.1 Adding and subtracting whole numbers.
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Grade 4 Mathematic Samples
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Sample Item Information for Teachers Grade: 4 Tier: 1 Key: C DOK: 2 Link to DOK Wheel Indiana Academic Standard: MA.4.AT.1 Solve real-world problems involving addition and subtraction of multi-digit whole numbers (e.g., by using drawings and equations with a symbol for the unknown number to represent the problem).
Content Connector: 4.AT.1.a.1 Solve or solve and check one- or two-step word problems requiring addition, subtraction.
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Sample Item Information for Teachers Grade: 4 Tier: 2 Key: A, C DOK: 3 Link to DOK Wheel Indiana Academic Standard: MA.4.AT.1 Solve real-world problems involving addition and subtraction of multi-digit whole numbers (e.g., by using drawings and equations with a symbol for the unknown number to represent the problem).
Content Connector: 4.AT.1.a.1 Solve or solve and check one- or two-step word problems requiring addition, subtraction.
The following is a two-part question. Answer Part A. Then answer Part B.
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Sample Item Information for Teachers Grade: 4 Tier: 3 Key: A DOK: 2 Link to DOK Wheel Indiana Academic Standard: MA.4.AT.1 Solve real-world problems involving addition and subtraction of multi-digit whole numbers (e.g., by using drawings and equations with a symbol for the unknown number to represent the problem).
Content Connector: 4.AT.1.a.1 Solve or solve and check one- or two-step word problems requiring addition, subtraction.
The elevation of South Bend is 208 meters.
The elevation of Indianapolis is 222 meters.
Complete the sentence.
The elevation of Indianapolis is meters higher than the elevation of South Bend.
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Sample Item Information for Teachers Grade: 4 Tier: 1 Key: C DOK: 2 Link to DOK Wheel Indiana Academic Standard: MA.4.C.1 Add and subtract multi-digit whole numbers fluently using a standard algorithmic approach.
Content Connector: 4.C.1.a.1 Grouping up to 10 objects with another set of up to 10 objects, and determining the final result.
If you add the cubes, how many are in all?
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Sample Item Information for Teachers Grade: 4 Tier: 2 Key: C DOK: 2 Link to DOK Wheel Indiana Academic Standard: MA.4.C.1 Add and subtract multi-digit whole numbers fluently using a standard algorithmic approach.
Content Connector: 4.C.1.a.1 Grouping up to 10 objects with another set of up to 10 objects, and determining the final result.
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Sample Item Information for Teachers Grade: 4 Tier: 3 Key: B DOK: 2 Link to DOK Wheel Indiana Academic Standard: MA.4.C.1 Add and subtract multi-digit whole numbers fluently using a standard algorithmic approach.
Content Connector: 4.C.1.a.1 Grouping up to 10 objects with another set of up to 10 objects, and determining the final result.
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Grade 5 Mathematics Samples
Sample Item Information for Teachers
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Grade: 5 Tier: 1 Key: C DOK: 2 Link to DOK Wheel Indiana Academic Standard: MA.5.C.1 Multiply multi-digit whole numbers fluently using a standard algorithmic approach.
Content Connector: 5.C.1.a.1 Use fact families to help multiply factors up to 10 (0-10).
Sample Item Information for Teachers
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Grade: 5 Tier: 2 Key: C DOK: 2 Link to DOK Wheel Indiana Academic Standard: MA.5.C.1 Multiply multi-digit whole numbers fluently using a standard algorithmic approach.
Content Connector: 5.C.1.a.1 Use fact families to help multiply factors up to 10 (0-10).
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Sample Item Information for Teachers Grade: 5 Tier: 3 Key: C DOK: 2 Link to DOK Wheel Indiana Academic Standard: MA.5.C.1 Multiply multi-digit whole numbers fluently using a standard algorithmic approach.
Content Connector: 5.C.1.a.1 Use fact families to help multiply factors up to 10 (0-10).
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Sample Item Information for Teachers Grade: 5 Tier: 1 Key: B DOK: 1 Link to DOK Wheel Indiana Academic Standard: MA.5.M.1 Convert among different-sized standard measurement units within a given measurement system, and use these conversions in solving multi-step real-world problems.
Content Connector: 5.M.1.a.1 Convert measurements of time. (day in a week, hours in a day, months in a year, minutes in an hour, seconds in a minute)
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Sample Item Information for Teachers Grade: 5 Tier: 2 Key: B DOK: 1 Link to DOK Wheel Indiana Academic Standard: MA.5.M.1 Convert among different-sized standard measurement units within a given measurement system, and use these conversions in solving multi-step real-world problems.
Content Connector: 5.M.1.a.1 Convert measurements of time. (day in a week, hours in a day, months in a year, minutes in an hour, seconds in a minute)
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Sample Item Information for Teachers Grade: 5 Tier: 3 Key: A2, B1 DOK: 3 Link to DOK Wheel Indiana Academic Standard: MA.5.M.1 Convert among different-sized standard measurement units within a given measurement system, and use these conversions in solving multi-step real-world problems.
Content Connector: 5.M.1.a.1 Convert measurements of time. (day in a week, hours in a day, months in a year, minutes in an hour, seconds in a minute)
Match the time in each row to ONE other time that means the same thing.
Choose ONE per row.
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Grade 6 Mathematics Samples
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Sample Item Information for Teachers Grade: 6 Tier: 1 Key: C DOK: 2 Link to DOK Wheel Indiana Academic Standard: MA.6.C.1 Divide multi-digit whole numbers fluently using a standard algorithmic approach.
Content Connector: 6.C.1.a.1 Divide multi-digit whole numbers
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Sample Item Information for Teachers Grade: 6 Tier: 2 Key: A1; B2; B3 DOK: 2 Link to DOK Wheel Indiana Academic Standard: MA.6.C.1 Divide multi-digit whole numbers fluently using a standard algorithmic approach.
Content Connector: 6.C.1.a.1 Divide multi-digit whole numbers.
Divide. Choose ONE value that makes each equation true.
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Sample Item Information for Teachers Grade: 6 Tier: 3 Key: A DOK: 2 Link to DOK Wheel Indiana Academic Standard: MA.6.C.1 Divide multi-digit whole numbers fluently using a standard algorithmic approach.
Content Connector: 6.C.1.a.1 Divide multi-digit whole numbers.
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Sample Item Information for Teachers Grade: 6 Tier: 1 Key: C DOK: 2 Link to DOK Wheel Indiana Academic Standard: MA.6.GM.1 Convert between measurement systems (English to metric and metric to English) given conversion factors, and use these conversions in solving real-world problems.
Content Connector: 6.GM.1.a.1 Complete a conversion table for length and time.
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Sample Item Information for Teachers Grade: 6 Tier: 2 Key: B DOK: 2 Link to DOK Wheel Indiana Academic Standard: MA.6.GM.1 Convert between measurement systems (English to metric and metric to English) given conversion factors, and use these conversions in solving real-world problems.
Content Connector: 6.GM.1.a.1 Complete a conversion table for length and time.
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Sample Item Information for Teachers Grade: 6 Tier: 3 Key: B, A DOK: 2 Link to DOK Wheel Indiana Academic Standard: MA.6.GM.1 Convert between measurement systems (English to metric and metric to English) given conversion factors, and use these conversions in solving real-world problems.
Content Connector: 6.GM.1.a.1 Complete a conversion table for length and time
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Grade 7 Mathematics Samples
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Sample Item Information for Teachers Grade: 7 Tier: 1 Key: C DOK: 2 Link to DOK Wheel Indiana Academic Standard: MA.7.AF.2 Solve equations of the form px + q = r and p(x + q) = r fluently, where p, q, and r are specific rational numbers. Represent real-world problems using equations of these forms and solve such problems.
Content Connector: 7.AF.2.a.1 Solve equations with 1 variable based on real-world problems.
What number can you use for x in the equation?
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Sample Item Information for Teachers Grade: 7 Tier: 2 Key: A2; B1 DOK: 2 Link to DOK Wheel Indiana Academic Standard: MA.7.AF.2 Solve equations of the form px + q = r and p(x + q) = r fluently, where p, q, and r are specific rational numbers. Represent real-world problems using equations of these forms and solve such problems.
Content Connector: 7.AF.2.a.1 Solve equations with 1 variable based on real-world problems.
What is the value of x in each equation? Choose ONE answer for each row.
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Sample Item Information for Teachers Grade: 7 Tier: 3 Key: B, C DOK: 2 Link to DOK Wheel Indiana Academic Standard: MA.7.AF.2 Solve equations of the form px + q = r and p(x + q) = r fluently, where p, q, and r are specific rational numbers. Represent real-world problems using equations of these forms and solve such problems.
Content Connector: 7.AF.2.a.1 Solve equations with 1 variable � based on real-world problems.
It cost $10 per hour plus a $5 deposit to rent a bike. Jaye pays a total of $75 to rent a bike.
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Sample Item Information for Teachers Grade: 7 Tier: 1 Key: A DOK: 1 Link to DOK Wheel Indiana Academic Standard: MA.7.C.1 Understand p + q as the number located a distance |q| from p, in the positive or negative direction, depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.
Content Connector: 7.C.1.a.1 Add a positive and negative integer.
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Sample Item Information for Teachers Grade: 7 Tier: 2 Key: B DOK: 2 Link to DOK Wheel Indiana Academic Standard: MA.7.C.1 Understand p + q as the number located a distance |q| from p, in the positive or negative direction, depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.
Content Connector: 7.C.1.a.1 Add a positive and negative integer.
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Sample Item Information for Teachers Grade: 7 Tier: 3 Key: A1; B2 DOK: 2 Link to DOK Wheel Indiana Academic Standard: MA.7.C.1 Understand p + q as the number located a distance |q| from p, in the positive or negative direction, depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.
Content Connector: 7.C.1.a.1 Add a positive and negative integer
Find each sum. Choose ONE answer in each row
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Grade 8 Mathematics Samples
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Sample Item Information for Teachers Grade: 8 Tier: 1 Key: A DOK: 2 Link to DOK Wheel Indiana Academic Standard: MA.8.AF.1 Solve linear equations with rational number coefficients fluently, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. Represent real-world problems using linear equations and inequalities in one variable and solve such problems.
Content Connector: 8.AF.1.a.1 Solve linear equations with 1 variable.
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Sample Item Information for Teachers Grade: 8 Tier: 2 Key: A DOK: 1 Link to DOK Wheel Indiana Academic Standard: MA.8.AF.1 Solve linear equations with rational number coefficients fluently, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. Represent real-world problems using linear equations and inequalities in one variable and solve such problems.
Content Connector: 8.AF.1.a.1 Solve linear equations with 1 variable.
Look at the equation
3 x = 9
Which number makes the equation true?
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Sample Item Information for Teachers Grade: 8 Tier: 3 Key: A, C DOK: 3 Link to DOK Wheel Indiana Academic Standard: MA.8.AF.1 Solve linear equations with rational number coefficients fluently, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. Represent real-world problems using linear equations and inequalities in one variable and solve such problems.
Content Connector: 8.AF.1.a.1 Solve linear equations with 1 variable.
The following is a two-part item. Answer Part A. Then answer Part B.
Part A
A math class is playing a game. The first team to have each student correctly answer 4 questions wins a prize. This means that a team must answer 36 questions correctly.
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Sample Item Information for Teachers Grade: 8 Tier: 1 Key: B DOK: 1 Link to DOK Wheel Indiana Academic Standard: MA.8.GM.3 Verify experimentally the properties of rotations, reflections, and translations, including: lines are mapped to lines, and line segments to line segments of the same length; angles are mapped to angles of the same measure; and parallel lines are mapped to parallel lines.
Content Connector: 8.GM.3.a.1 Recognize a rotation, reflection, or translation of a figure.
Which pair of figures shows a rotation?
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Sample Item Information for Teachers Grade: 8 Tier: 2 Key: C DOK: 1 Link to DOK Wheel Indiana Academic Standard: MA.8.GM.3 Verify experimentally the properties of rotations, reflections, and translations, including: lines are mapped to lines, and line segments to line segments of the same length; angles are mapped to angles of the same measure; and parallel lines are mapped to parallel lines.
Content Connector: MA.8.GM.3.a.1 Recognize a rotation, reflection, or translation of a figure.
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Sample Item Information for Teachers Grade: 8 Tier: 3
Key: A2; B1 DOK: 1 Link to DOK Wheel Indiana Academic Standard: MA.8.GM.3 Verify experimentally the properties of rotations, reflections, and translations, including: lines are mapped to lines, and line segments to line segments of the same length; angles are mapped to angles of the same measure; and parallel lines are mapped to parallel lines.
Content Connector: MA .8.GM.3.a.1 Recognize a rotation, reflection, or translation of a figure.
Which figure shows a reflection, and which figure shows a translation? Choose ONE answer in each row.
Reflection Translation
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Grade10 Mathematics Samples
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Sample Item Information for Teachers Grade: 10 Tier: 1 Key: A DOK: 2 Link to DOK Wheel Indiana Academic Standard: MA.AI.L.11 Solve equations and formulas for a specified variable, including equations with coefficients represented by variables.
Content Connector: MA.AI.L.11.a.1 Solve linear equations with 1 variable.
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Sample Item Information for Teachers Grade: 10 Tier: 2
Key: A, C DOK: 3 Link to DOK Wheel Indiana Academic Standard: MA.AI.L.11 Solve equations and formulas for a specified variable, including equations with coefficients represented by variables.
Content Connector: MA.AI.L.11.a.1 Solve linear equations with 1 variable.
The following is a two-part item. Answer Part A. Then answer Part B.
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Sample Item Information for Teachers Grade: 10 Tier: 3 Key: A1; B2 DOK: 2 Link to DOK Wheel Indiana Academic Standard: MA.AI.L.11 Solve equations and formulas for a specified variable, including equations with coefficients represented by variables.
Content Connector: MA.AI.L.11.a.1 Solve linear equations with 1 variable.
Solve each equation for x. Choose ONE answer in each row.
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Sample Item Information for Teachers Grade: 10 Tier: 1 Key: B DOK: 1 Link to DOK Wheel Indiana Academic Standard: AI.RNE.2 Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.
Content Connector: AI.RNE.2.a.1 Identify the pattern for the sum or product for combinations of rational numbers.
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Sample Item Information for Teachers Grade: 10 Tier: 2 Key: B DOK: 2 Link to DOK Wheel Indiana Academic Standard: AI.RNE.2 Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.
Content Connector: AI.RNE.2.a.1 Identify the pattern for the sum or product for combinations of rational numbers.
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Sample Item Information for Teachers Grade: 10 Tier: 3 Key: A DOK: 2 Link to DOK Wheel Indiana Academic Standard: AI.RNE.2 Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.
Content Connector: AI.RNE.2.a.1 Identify the pattern for the sum or product for combinations of rational numbers.
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